// GetDP - Copyright (C) 1997-2022 P. Dular and C. Geuzaine, University of Liege
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/getdp/getdp/issues.

/* Please change the MAX_LINE_POINTS in Quadrature.h if you extend
   this list, in order for the Gauss-Legendre rules to be
   automatically updated. */

/* 1 integration point */

static double lx1[1] = {0.000000000000000e+00};
static double lp1[1] = {2.000000000000000e+00};

/* 2 integration points */

static double lx2[2] = {-5.773502691896257e-01, 5.773502691896257e-01};
static double lp2[2] = {1.000000000000000e+00, 1.000000000000000e+00};

/* 3 integration points */

static double lx3[3] = {-7.745966692414834e-01, 0.000000000000000e+00,
                        7.745966692414834e-01};
static double lp3[3] = {5.555555555555552e-01, 8.888888888888888e-01,
                        5.555555555555552e-01};

/* 4 integration points */

static double lx4[4] = {-8.611363115940526e-01, -3.399810435848563e-01,
                        3.399810435848563e-01, 8.611363115940526e-01};
static double lp4[4] = {3.478548451374537e-01, 6.521451548625464e-01,
                        6.521451548625464e-01, 3.478548451374537e-01};

/* 5 integration points */

static double lx5[5] = {-9.061798459386640e-01, -5.384693101056831e-01,
                        0.000000000000000e+00, 5.384693101056831e-01,
                        9.061798459386640e-01};
static double lp5[5] = {2.369268850561890e-01, 4.786286704993665e-01,
                        5.688888888888889e-01, 4.786286704993665e-01,
                        2.369268850561890e-01};

/* 6 integration points */

static double lx6[6] = {-9.324695142031521e-01, -6.612093864662646e-01,
                        -2.386191860831969e-01, 2.386191860831969e-01,
                        6.612093864662646e-01,  9.324695142031521e-01};
static double lp6[6] = {1.713244923791705e-01, 3.607615730481386e-01,
                        4.679139345726913e-01, 4.679139345726913e-01,
                        3.607615730481386e-01, 1.713244923791705e-01};

/* 7 integration points */

static double lx7[7] = {-9.491079123427585e-01, -7.415311855993945e-01,
                        -4.058451513773972e-01, 0.000000000000000e+00,
                        4.058451513773972e-01,  7.415311855993945e-01,
                        9.491079123427585e-01};
static double lp7[7] = {1.294849661688697e-01, 2.797053914892767e-01,
                        3.818300505051190e-01, 4.179591836734694e-01,
                        3.818300505051190e-01, 2.797053914892767e-01,
                        1.294849661688697e-01};

/* 8 integration points */

static double lx8[8] = {-9.602898564975363e-01, -7.966664774136268e-01,
                        -5.255324099163290e-01, -1.834346424956498e-01,
                        1.834346424956498e-01,  5.255324099163290e-01,
                        7.966664774136268e-01,  9.602898564975363e-01};
static double lp8[8] = {1.012285362903768e-01, 2.223810344533745e-01,
                        3.137066458778874e-01, 3.626837833783620e-01,
                        3.626837833783620e-01, 3.137066458778874e-01,
                        2.223810344533745e-01, 1.012285362903768e-01};

/* 9 integration points */

static double lx9[9] = {
  -9.681602395076261e-01, -8.360311073266359e-01, -6.133714327005905e-01,
  -3.242534234038089e-01, 0.000000000000000e+00,  3.242534234038089e-01,
  6.133714327005905e-01,  8.360311073266359e-01,  9.681602395076261e-01};
static double lp9[9] = {
  8.127438836157463e-02, 1.806481606948576e-01, 2.606106964029355e-01,
  3.123470770400029e-01, 3.302393550012598e-01, 3.123470770400029e-01,
  2.606106964029355e-01, 1.806481606948576e-01, 8.127438836157463e-02};

/* 10 integration points */

static double lx10[10] = {-9.739065285171716e-01, -8.650633666889845e-01,
                          -6.794095682990244e-01, -4.333953941292472e-01,
                          -1.488743389816312e-01, 1.488743389816312e-01,
                          4.333953941292472e-01,  6.794095682990244e-01,
                          8.650633666889845e-01,  9.739065285171716e-01};
static double lp10[10] = {6.667134430868774e-02, 1.494513491505805e-01,
                          2.190863625159822e-01, 2.692667193099962e-01,
                          2.955242247147529e-01, 2.955242247147529e-01,
                          2.692667193099962e-01, 2.190863625159822e-01,
                          1.494513491505805e-01, 6.667134430868774e-02};

/* 11 integration points */

static double lx11[11] = {
  -9.782286581460570e-01, -8.870625997680953e-01, -7.301520055740494e-01,
  -5.190961292068118e-01, -2.695431559523450e-01, 0.000000000000000e+00,
  2.695431559523450e-01,  5.190961292068118e-01,  7.301520055740494e-01,
  8.870625997680953e-01,  9.782286581460570e-01};
static double lp11[11] = {
  5.566856711617354e-02, 1.255803694649047e-01, 1.862902109277343e-01,
  2.331937645919903e-01, 2.628045445102466e-01, 2.729250867779006e-01,
  2.628045445102466e-01, 2.331937645919903e-01, 1.862902109277343e-01,
  1.255803694649047e-01, 5.566856711617354e-02};

/* 12 integration points */

static double lx12[12] = {
  -9.815606342467192e-01, -9.041172563704748e-01, -7.699026741943047e-01,
  -5.873179542866175e-01, -3.678314989981802e-01, -1.252334085114689e-01,
  1.252334085114689e-01,  3.678314989981802e-01,  5.873179542866175e-01,
  7.699026741943047e-01,  9.041172563704748e-01,  9.815606342467192e-01};
static double lp12[12] = {
  4.717533638651183e-02, 1.069393259953182e-01, 1.600783285433463e-01,
  2.031674267230658e-01, 2.334925365383548e-01, 2.491470458134029e-01,
  2.491470458134029e-01, 2.334925365383548e-01, 2.031674267230658e-01,
  1.600783285433463e-01, 1.069393259953182e-01, 4.717533638651183e-02};

/* 13 integration points */

static double lx13[13] = {
  -9.841830547185881e-01, -9.175983992229780e-01, -8.015780907333099e-01,
  -6.423493394403402e-01, -4.484927510364468e-01, -2.304583159551348e-01,
  1.232595164407831e-32,  2.304583159551348e-01,  4.484927510364468e-01,
  6.423493394403402e-01,  8.015780907333099e-01,  9.175983992229780e-01,
  9.841830547185881e-01};
static double lp13[13] = {
  4.048400476531581e-02, 9.212149983772838e-02, 1.388735102197872e-01,
  1.781459807619457e-01, 2.078160475368884e-01, 2.262831802628971e-01,
  2.325515532308739e-01, 2.262831802628971e-01, 2.078160475368884e-01,
  1.781459807619457e-01, 1.388735102197872e-01, 9.212149983772838e-02,
  4.048400476531581e-02};

/* 14 integration points */

static double lx14[14] = {
  -9.862838086968123e-01, -9.284348836635736e-01, -8.272013150697650e-01,
  -6.872929048116855e-01, -5.152486363581541e-01, -3.191123689278897e-01,
  -1.080549487073437e-01, 1.080549487073437e-01,  3.191123689278897e-01,
  5.152486363581541e-01,  6.872929048116855e-01,  8.272013150697650e-01,
  9.284348836635736e-01,  9.862838086968123e-01};
static double lp14[14] = {
  3.511946033175199e-02, 8.015808715976037e-02, 1.215185706879031e-01,
  1.572031671581936e-01, 1.855383974779378e-01, 2.051984637212955e-01,
  2.152638534631578e-01, 2.152638534631578e-01, 2.051984637212955e-01,
  1.855383974779378e-01, 1.572031671581936e-01, 1.215185706879031e-01,
  8.015808715976037e-02, 3.511946033175199e-02};

/* 15 integration points */

static double lx15[15] = {
  -9.879925180204854e-01, -9.372733924007060e-01, -8.482065834104272e-01,
  -7.244177313601701e-01, -5.709721726085388e-01, -3.941513470775634e-01,
  -2.011940939974345e-01, 1.232595164407831e-32,  2.011940939974345e-01,
  3.941513470775634e-01,  5.709721726085388e-01,  7.244177313601701e-01,
  8.482065834104272e-01,  9.372733924007060e-01,  9.879925180204854e-01};
static double lp15[15] = {
  3.075324199611663e-02, 7.036604748810814e-02, 1.071592204671720e-01,
  1.395706779261543e-01, 1.662692058169940e-01, 1.861610000155622e-01,
  1.984314853271116e-01, 2.025782419255613e-01, 1.984314853271116e-01,
  1.861610000155622e-01, 1.662692058169940e-01, 1.395706779261543e-01,
  1.071592204671720e-01, 7.036604748810814e-02, 3.075324199611663e-02};

/* 16 integration points */

static double lx16[16] = {
  -9.894009349916499e-01, -9.445750230732326e-01, -8.656312023878318e-01,
  -7.554044083550030e-01, -6.178762444026438e-01, -4.580167776572274e-01,
  -2.816035507792589e-01, -9.501250983763744e-02, 9.501250983763744e-02,
  2.816035507792589e-01,  4.580167776572274e-01,  6.178762444026438e-01,
  7.554044083550030e-01,  8.656312023878318e-01,  9.445750230732326e-01,
  9.894009349916499e-01};
static double lp16[16] = {
  2.715245941175406e-02, 6.225352393864778e-02, 9.515851168249290e-02,
  1.246289712555339e-01, 1.495959888165768e-01, 1.691565193950026e-01,
  1.826034150449236e-01, 1.894506104550685e-01, 1.894506104550685e-01,
  1.826034150449236e-01, 1.691565193950026e-01, 1.495959888165768e-01,
  1.246289712555339e-01, 9.515851168249290e-02, 6.225352393864778e-02,
  2.715245941175406e-02};

/* 17 integration points */

static double lx17[17] = {
  -9.905754753144174e-01, -9.506755217687678e-01, -8.802391537269859e-01,
  -7.815140038968014e-01, -6.576711592166907e-01, -5.126905370864769e-01,
  -3.512317634538763e-01, -1.784841814958479e-01, 1.232595164407831e-32,
  1.784841814958479e-01,  3.512317634538763e-01,  5.126905370864769e-01,
  6.576711592166907e-01,  7.815140038968014e-01,  8.802391537269859e-01,
  9.506755217687678e-01,  9.905754753144174e-01};
static double lp17[17] = {
  2.414830286854792e-02, 5.545952937398713e-02, 8.503614831717915e-02,
  1.118838471934039e-01, 1.351363684685256e-01, 1.540457610768104e-01,
  1.680041021564499e-01, 1.765627053669926e-01, 1.794464703562065e-01,
  1.765627053669926e-01, 1.680041021564499e-01, 1.540457610768104e-01,
  1.351363684685256e-01, 1.118838471934039e-01, 8.503614831717915e-02,
  5.545952937398713e-02, 2.414830286854792e-02};

/* 18 integration points */

static double lx18[18] = {
  -9.915651684209310e-01, -9.558239495713977e-01, -8.926024664975557e-01,
  -8.037049589725231e-01, -6.916870430603532e-01, -5.597708310739475e-01,
  -4.117511614628426e-01, -2.518862256915055e-01, -8.477501304173531e-02,
  8.477501304173531e-02,  2.518862256915055e-01,  4.117511614628426e-01,
  5.597708310739475e-01,  6.916870430603532e-01,  8.037049589725231e-01,
  8.926024664975557e-01,  9.558239495713977e-01,  9.915651684209310e-01};
static double lp18[18] = {
  2.161601352648315e-02, 4.971454889496984e-02, 7.642573025488918e-02,
  1.009420441062872e-01, 1.225552067114784e-01, 1.406429146706506e-01,
  1.546846751262652e-01, 1.642764837458327e-01, 1.691423829631435e-01,
  1.691423829631435e-01, 1.642764837458327e-01, 1.546846751262652e-01,
  1.406429146706506e-01, 1.225552067114784e-01, 1.009420441062872e-01,
  7.642573025488918e-02, 4.971454889496984e-02, 2.161601352648315e-02};

/* 19 integration points */

static double lx19[19] = {
  -9.924068438435844e-01, -9.602081521348300e-01, -9.031559036148179e-01,
  -8.227146565371428e-01, -7.209661773352294e-01, -6.005453046616810e-01,
  -4.645707413759609e-01, -3.165640999636298e-01, -1.603586456402254e-01,
  1.232595164407831e-32,  1.603586456402254e-01,  3.165640999636298e-01,
  4.645707413759609e-01,  6.005453046616810e-01,  7.209661773352294e-01,
  8.227146565371428e-01,  9.031559036148179e-01,  9.602081521348300e-01,
  9.924068438435844e-01};
static double lp19[19] = {
  1.946178822972643e-02, 4.481422676569959e-02, 6.904454273764125e-02,
  9.149002162245014e-02, 1.115666455473341e-01, 1.287539625393363e-01,
  1.426067021736066e-01, 1.527660420658597e-01, 1.589688433939544e-01,
  1.610544498487837e-01, 1.589688433939544e-01, 1.527660420658597e-01,
  1.426067021736066e-01, 1.287539625393363e-01, 1.115666455473341e-01,
  9.149002162245014e-02, 6.904454273764125e-02, 4.481422676569959e-02,
  1.946178822972643e-02};

/* 20 integration points */

static double lx20[20] = {
  -9.931285991850949e-01, -9.639719272779138e-01, -9.122344282513259e-01,
  -8.391169718222189e-01, -7.463319064601508e-01, -6.360536807265150e-01,
  -5.108670019508271e-01, -3.737060887154195e-01, -2.277858511416451e-01,
  -7.652652113349734e-02, 7.652652113349734e-02,  2.277858511416451e-01,
  3.737060887154195e-01,  5.108670019508271e-01,  6.360536807265150e-01,
  7.463319064601508e-01,  8.391169718222189e-01,  9.122344282513259e-01,
  9.639719272779138e-01,  9.931285991850949e-01};
static double lp20[20] = {
  1.761400713915226e-02, 4.060142980038705e-02, 6.267204833410904e-02,
  8.327674157670474e-02, 1.019301198172405e-01, 1.181945319615183e-01,
  1.316886384491766e-01, 1.420961093183819e-01, 1.491729864726038e-01,
  1.527533871307260e-01, 1.527533871307260e-01, 1.491729864726038e-01,
  1.420961093183819e-01, 1.316886384491766e-01, 1.181945319615183e-01,
  1.019301198172405e-01, 8.327674157670474e-02, 6.267204833410904e-02,
  4.060142980038705e-02, 1.761400713915226e-02};
